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2000313133 = 72133140209
BaseRepresentation
bin111011100111010…
…0101101100101101
312011101221102202121
41313032211230231
513044040010013
6530253352541
7100366244500
oct16716455455
95141842677
102000313133
11937140955
12479a98751
1325b556a50
1414d93b137
15ba92558d
hex773a5b2d

2000313133 has 12 divisors (see below), whose sum is σ = 2505887580. Its totient is φ = 1582664832.

The previous prime is 2000313131. The next prime is 2000313163. The reversal of 2000313133 is 3313130002.

It can be written as a sum of positive squares in 2 ways, for example, as 1369148004 + 631165129 = 37002^2 + 25123^2 .

It is not a de Polignac number, because 2000313133 - 21 = 2000313131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000313131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1569468 + ... + 1570741.

It is an arithmetic number, because the mean of its divisors is an integer number (208823965).

Almost surely, 22000313133 is an apocalyptic number.

It is an amenable number.

2000313133 is a deficient number, since it is larger than the sum of its proper divisors (505574447).

2000313133 is a wasteful number, since it uses less digits than its factorization.

2000313133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140236 (or 3140229 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 2000313133 is about 44724.8603463443. The cubic root of 2000313133 is about 1259.9868002732.

Adding to 2000313133 its reverse (3313130002), we get a palindrome (5313443135).

The spelling of 2000313133 in words is "two billion, three hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 7 13 49 91 637 3140209 21981463 40822717 153870241 285759019 2000313133